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107214954 = 23711217273
BaseRepresentation
bin1100110001111…
…11100001101010
321110202002021020
412120333201222
5204421334304
614345553310
72441212020
oct630774152
9243662236
10107214954
115557a200
122baa5836
131929b802
141034c710
15962c5d9
hex663f86a

107214954 has 144 divisors (see below), whose sum is σ = 290063424. Its totient is φ = 25850880.

The previous prime is 107214923. The next prime is 107214979. The reversal of 107214954 is 459412701.

It is a happy number.

It is a super-2 number, since 2×1072149542 = 22990092722444232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1468662 + ... + 1468734.

Almost surely, 2107214954 is an apocalyptic number.

107214954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107214954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145031712).

107214954 is an abundant number, since it is smaller than the sum of its proper divisors (182848470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107214954 is a wasteful number, since it uses less digits than its factorization.

107214954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 107214954 is about 10354.4654135305. The cubic root of 107214954 is about 475.0636354264.

The spelling of 107214954 in words is "one hundred seven million, two hundred fourteen thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 73 77 102 119 121 146 154 187 219 231 238 242 289 357 363 374 438 462 511 561 578 714 726 803 847 867 1022 1122 1241 1309 1533 1606 1694 1734 2023 2057 2409 2482 2541 2618 3066 3179 3723 3927 4046 4114 4818 5082 5621 6069 6171 6358 7446 7854 8687 8833 9537 11242 12138 12342 13651 14399 16863 17374 17666 19074 21097 22253 26061 26499 27302 28798 33726 34969 40953 42194 43197 44506 52122 52998 61831 63291 66759 69938 81906 86394 95557 104907 123662 126582 133518 147679 150161 185493 191114 209814 232067 244783 286671 295358 300322 370986 443037 450483 464134 489566 573342 696201 734349 886074 900966 1051127 1392402 1468698 1624469 2102254 2552737 3153381 3248938 4873407 5105474 6306762 7658211 9746814 15316422 17869159 35738318 53607477 107214954